Question

What is the value of $0^\circ \,\,F$ in Celsius scale?

Answer 1

First learn the relation between Fahrenheit and Celsius scale. By applying their relationship formula we can solve the above given problem with the help of the data given in this question.

Formula Used:
$\boxed{\dfrac{{F - 32}}{9} = \dfrac{C}{5}}$
Where, $F$= Fahrenheit and $C$= Celsius.

Complete step by step answer:
Both Fahrenheit and Celsius scale are temperature scales with the help of which we can measure the temperature and these two scales are their two different units. Celsius scale, also known as centigrade scale, is a temperature scale that is based on the freezing point of water at $0^\circ \,\,C$ and the boiling point of Water at $100^\circ \,\,C$. Fahrenheit scale is a temperature scale that is based on the freezing point of water at $32^\circ \,\,F$ and the boiling point of water at $212^\circ \,\,F$.We know that,
$\dfrac{{F - 32}}{9} = \dfrac{C}{5}$

As given in the problem, we need to convert the given Fahrenheit value to its respective Celsius scale.
Given= $0^\circ \,\,F$
To Find: $C = ??$
By applying formula we get,
$\dfrac{{F - 32}}{9} = \dfrac{C}{5}$
Putting the given values we get,
$\Rightarrow \dfrac{{0 - 32}}{9} = \dfrac{C}{5}$
$\Rightarrow \dfrac{{ - 32}}{9} = \dfrac{C}{5}$
By rearranging the above equation we get,
$\dfrac{{ - 32 \times 5}}{9} = C$
$\Rightarrow C = \dfrac{{\left( { - 160} \right)}}{9}$
$\therefore C = \left( { - 17.78} \right)$

Therefore $- 17.78$ is the value of $0^\circ \,\,F$ in Celsius scale.

Note: This is a simple problem while solving, always use the accurate formula. Sometime many get confused while writing the formula in place of $F$ some write $C$ which makes the whole answer incorrect and always remember $C$ value should be less than $F$ value if this will not occur then you must have made some mistake, recheck your answer.